Least Common Multiple (LCM) of 179 and 173
The least common multiple (LCM) of 179 and 173 is 30967.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 179 and 173?
First, calculate the GCD of 179 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 173 = 1 remainder 6 |
| 2 | 173 ÷ 6 = 28 remainder 5 |
| 3 | 6 ÷ 5 = 1 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 136 | 3400 |
| 123 and 65 | 7995 |
| 136 and 64 | 1088 |
| 37 and 149 | 5513 |
| 176 and 10 | 880 |